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Séminaire du LJLL - 08 10 2021 14h00 : A. Braides
Vendredi 08 octobre 2021 — 14h00
Exposé à distance retransmis par Zoom
Andrea Braides (Université de Rome Tor Vergata)
Topological singularities in periodic media
Résumé
I describe the emergence of topological singularities for a Ginzburg-Landau model of parameter epsilon in an inhomogeneous medium of periodicity delta, computing the vortex energy as epsilon and delta tend to zero. In a sense we always have a separation-of-scale effect : there exists a parameter lambda (explicitly computed and depending on the asymptotic mutual behaviour of delta and epsilon) such that at scales less than epsilon^lambda we first have a concentration process around some vortices whose location is subsequently optimized, while for scales larger than epsilon^lambda the concentration process takes place after homogenization. The two processes both contribute to the vortex energy.
This is work in collaboration with R. Alicandro, M. Cicalese, L. De Luca and A. Piatnitski.